What is the Greatest Common Factor of 30821 and 30841?

Greatest common factor (GCF) of 30821 and 30841 is 1.

GCF(30821,30841) = 1

We will now calculate the prime factors of 30821 and 30841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30821 and 30841.

How to find the GCF of 30821 and 30841?

We will first find the prime factorization of 30821 and 30841. After we will calculate the factors of 30821 and 30841 and find the biggest common factor number .

Step-1: Prime Factorization of 30821

Prime factors of 30821 are 7, 17, 37. Prime factorization of 30821 in exponential form is:

30821 = 7² × 17¹ × 37¹

Step-2: Prime Factorization of 30841

Prime factors of 30841 are 30841. Prime factorization of 30841 in exponential form is:

30841 = 30841¹

Step-3: Factors of 30821

List of positive integer factors of 30821 that divides 30821 without a remainder.

1, 7, 17, 37, 49, 119, 259, 629, 833, 1813, 4403

Step-4: Factors of 30841

List of positive integer factors of 30841 that divides 30821 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30821 and 30841. The biggest common factor number is the GCF number.
So the greatest common factor 30821 and 30841 is 1.

Also check out the Least Common Multiple of 30821 and 30841